We consider the problem of model-based 3D-tracking of objects given dense
depth images as input. Two difficulties preclude the application of a standard
Gaussian filter to this problem. First of all, depth sensors are characterized
by fat-tailed measurement noise. To address this issue, we show how a recently
published robustification method for Gaussian filters can be applied to the
problem at hand. Thereby, we avoid using heuristic outlier detection methods
that simply reject measurements if they do not match the model. Secondly, the
computational cost of the standard Gaussian filter is prohibitive due to the
high-dimensional measurement, i.e. the depth image. To address this problem, we
propose an approximation to reduce the computational complexity of the filter.
In quantitative experiments on real data we show how our method clearly
outperforms the standard Gaussian filter. Furthermore, we compare its
performance to a particle-filter-based tracking method, and observe comparable
computational efficiency and improved accuracy and smoothness of the estimates